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In this paper, certain linear operators defined on $p$-valent analytic functions have been unified and for them some subordination and superordination results as well as the corresponding sandwich type results are obtained. A related…

Complex Variables · Mathematics 2011-08-23 S. Sivaprasad Kumar , Virendra Kumar , V. Ravichandran

In this paper, subordination results are studied for certain subclass of p-valent meromorphic functions in the punctured unit disc having a pole of order p at the origin. The subclass under investigation is defined by using certain new…

Complex Variables · Mathematics 2017-11-28 R. M. El-Ashwah , A. H. Hassan

In the present paper, we study a new subclass $\mathcal{M}_p(\alpha,\beta)$ of $p$--valent functions and obtain some inequalities concerning the coefficients for the desired class. Also, by use of the Hadamard product, we define a general…

Complex Variables · Mathematics 2018-11-27 R. Kargar , J. Sokół

In this paper, we obtain some application of first-order differential subordination, superordination and sandwich-type results involving operator for certain normalized $p$-valent analytic functions. Further, properties of $p$-valent…

Complex Variables · Mathematics 2018-11-09 V. S. Masih , A. Ebadian , Sh. Najafzadeh

In the present paper we introduce and studied two subclasses of multivalent functions denoted by $\mathcal{M}^{\lambda}_{p,n}(\gamma;\beta)$ and $\mathcal{N}^{\lambda}_{p,n}(\mu,\eta;\delta)$. Further, by giving specific values of the…

Complex Variables · Mathematics 2013-03-20 Pranay Goswami , Teodor Bulboacă , Sanjay Bansal

In this paper we introduce and study two new subclasses \Sigma_{\lambda\mu mp}(\alpha,\beta)$ and $\Sigma^{+}_{\lambda\mu mp}(\alpha,\beta)$ of meromorphically multivalent functions which are defined by means of a new differential operator.…

Complex Variables · Mathematics 2011-03-10 Halit Orhan , Dorina Raducanu , Erhan Deniz

We introduce new generalizations of the Gamma and the Beta functions. Their properties are investigated and known results are obtained as particular cases.

Number Theory · Mathematics 2015-06-25 P. Njionou Sadjang

It is well known that not every summability property for non linear operators leads to a factorization theorem. In this paper we undertake a detailed study of factorization schemes for summing linear and nonlinear operators. Our aim is to…

Functional Analysis · Mathematics 2015-11-17 E. Dahia , D. Achour , P. Rueda , E. A. Sánchez Pérez

In this paper, we define the subclasses $R_{\mu,p}^{\delta}(\alpha;A,B)\ $ and $ P_{\mu,p}^{\delta}(\alpha;A,B)\ $ of analytic functions in the open unit disc of complex plain. Then the neighborhood properties, integral means inequalities…

Complex Variables · Mathematics 2019-04-22 Alaa H. El-Qadeem , Sameerah K. Al-ghazal

By using Rafid operator we define the subclass $R_{\mu,p}^\delta(\alpha;A,B)$ and $P_{\mu,p}^\delta(\alpha; A,B)$ of analytic and p-valent functions with negative coefficients we investigate some sharp results including coefficients…

Complex Variables · Mathematics 2019-04-18 A. H. El-Qadeem , S. K. Al-ghazal

In the present investigation, we give some interesting results related with neighborhoods of p-valent functions. Relevant connections with some other recent works are also pointed out.

Complex Variables · Mathematics 2014-04-07 Halit Orhan

In this paper, we introduce a subclass of p-valent non-bazilavec functions of order. Some subordination relations and the inequality properties of p-valent functions are discussed. The results presented here generalize and improve some…

Complex Variables · Mathematics 2019-02-27 A. A. Amourah , A. G. Alamoush , M. Darus

The association of subordination and special functions is used to find sharp estimates on the parameter $\beta$ such that the analytic function $p(z)$ is subordinate to certain functions having positive real part whenever $p(z)+\beta z…

Complex Variables · Mathematics 2023-08-21 Meghna Sharma , Naveen Kumar Jain , Sushil Kumar

The aim of this paper is to define a new operator by using the generalized Struve functions. By using this operator we define a subclass of analytic functions. We discuss some properties of this class such as inclusion problems, radius…

Complex Variables · Mathematics 2015-02-18 Mohsan Raza , Nihat Yağmur

In the present paper the new multiplier transformations $\mathrm{{\mathcal{J}% }}_{p}^{\delta }(\lambda ,\mu ,l)$ $(\delta ,l\geq 0,\;\lambda \geq \mu \geq 0;\;p\in \mathrm{% }%\mathbb{N} )}$ of multivalent functions is defined. Making use…

Complex Variables · Mathematics 2015-03-05 Erhan Deniz , Halit Orhan

In this paper we provide an abstract aproach to the study of classes of multiple summing multilinear operators between Banach spaces. The main purpose is unify the study of several known classes and results, for example multiple $(p,…

Functional Analysis · Mathematics 2018-07-11 Joilson Ribeiro , Fabrício Santos

We present an algorithm for factoring linear differential operators with coefficients in a finite separable extension of F p (x). Our methods rely on specific tools arising in positive characteristic: p-curvature, structure of simple…

Symbolic Computation · Computer Science 2022-08-25 Raphaël Pagès

In this article, we investigate and establish some properties including analytic properties, contiguous relations, differential properties, differential operators, an expansion formula, and simple integrals, integral operators, some…

Classical Analysis and ODEs · Mathematics 2024-11-18 Ayman Shehata , Dinesh Kumar

The Dominative $p$-Laplace Operator is introduced. This operator is a relative to the $p$-Laplacian, but with the distinguishing property of being sublinear. It explains the superposition principle in the $p$-Laplace Equation.

Analysis of PDEs · Mathematics 2017-05-24 Karl K. Brustad

We generalize results concerning Gel'fand integration of functions taking values in the space of operators on Hilbert spaces to certain Banach spaces. Building on ideas from \cite{M24} we provide sufficient conditions for the Gel'fand…

Functional Analysis · Mathematics 2026-04-27 Matija Milović , Stefan Milošević
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